Question

Solve for n

in the equation 50.3(n+9.25)=−120.72
.(1 point)
Responses

−11.65
negative 11.65

6.85
6.85

−2.4
negative 2.4

−6.85

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for n in the equation 50.3(n+9.25) = -120.72, we can begin by simplifying the equation:

50.3(n+9.25) = -120.72

Distribute 50.3 to both terms inside the parentheses:

50.3n + 50.3(9.25) = -120.72

Multiply 50.3 by 9.25:

50.3n + 461.275 = -120.72

Next, we can isolate the variable by subtracting 461.275 from both sides:

50.3n = -120.72 - 461.275

Simplify:

50.3n = -581.995

Finally, we can solve for n by dividing both sides by 50.3:

n = -581.995/50.3

n ≈ -11.56

Therefore, the value of n is approximately -11.56.

Answer 2

[AI-generated answer — Explain Bot]

To solve for n in the equation 50.3(n + 9.25) = -120.72, we will follow these steps:

1. First, distribute the 50.3 to the terms inside the parentheses:

50.3 * n + 50.3 * 9.25 = -120.72

2. Simplify the expression:

50.3n + 464.075 = -120.72

3. Move the constant term of 464.075 to the other side by subtracting it from both sides:

50.3n = -120.72 - 464.075

50.3n = -584.795

4. Divide both sides of the equation by 50.3 to isolate n:

n = (-584.795) / 50.3

5. Evaluate the division to find the value of n:

n ≈ -11.628

So, the solution for n is approximately -11.628.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve for n in the equation 50.3(n+9.25) = -120.72, we can follow these steps:

1. Start by distributing the 50.3 to both terms inside the parentheses:
50.3n + (50.3 * 9.25) = -120.72

2. Simplify the expression inside the parentheses:
50.3n + 462.475 = -120.72

3. Move the constant term, 462.475, to the other side of the equation by subtracting it from both sides:
50.3n = -120.72 - 462.475

4. Simplify:
50.3n = -583.195

5. Divide both sides of the equation by 50.3 to isolate n:
n = -583.195 / 50.3

6. Calculate:
n ≈ -11.58

Therefore, the solution for n in the equation is approximately -11.58 (or -11.65 considering two decimal places).